AMPED!Unit!1! ! ! ! ! Name ! Rates!&Slope! ! ! ! ! Period

[Pages:24]AMPED Unit 1

Name_________________________ Rates & Slope

Period______

1.

Write these statements as a rate (slope) in fraction form.

a)

You are traveling 63 miles per hour

b)

You are earning $9.30/hr

c)

The bike ride has traveled 8 miles in 2 hours

d)

The average household in America has 2.3 cars

e)

The basketball player scores an average of 23 points per game

2. Use the graph below to answer the questions.

a)

Which line is the steepest?

b)

Find the slope of line B

c)

What do the lines A and C have in common?

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3.

Who got the better deal?

Both Larry and Linda bought the same value meal deal.

The menu price for the meal deal was $4.99.

Larry had a $1 off coupon he used first and then got a 10% student discount.

Linda, used her 10% student discount first, and then used the $1 off coupon.

Who got the better deal?

4.

Raising chickens in urban areas is the fastest growing agricultural

practice in cities. The function (equation) for the weight gain of chicks can be estimated with

w(d) = 45 + 6d

where d is the number of days

after hatching.

In how many days will the weight of the chick equal or exceed 100 grams?

5.

Describe the rule for each in/out table

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6.

Graph the data from the t--shirt shop.

You sold 5 shirts for $41 and you sold 9 shirts for $74.

7.

Annie is riding a bike.

Interpret the graph to tell what could of

happened during each of the rides.

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8.

Use the following graphs to determine if a ? d are true or false.

a)

The heavier car is the most expensive.

b)

The car with the largest passenger capacity is the least expensive.

c)

The car with the best MPG has the smaller engine.

d)

The fastest car is the most expensive.

9.

Find the slope of a line passing thru

a)

(5, 10)

and (3, 4)

b)

(0, --4)

and

(--2, --1)

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10.

Find the slope of each line in the graph below.

A:

B:

C:

D:

11.

Using the problem 18 - 3? 2

a)

Do the problem by doing the subtracting

18 - 3 first.

What is the

answer?

b)

Do the problem by doing the multiplication 3? 2

first.

What is the

answer?

c)

Does it matter which way you do it?

12.

Evaluate:

a) 5 - 3i 2

b) 3(5 + 6)

c ) 8 +10 ? 2

d) -2 + 9

7

13.

Which of these can be represented as a function?

INPUT.............................................OUTPUT

a)

Every basketball player on a team has a unique jersey number

b)

Every licensed driver has one driver's license number

c)

Every email receiver has one email address

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14.

Write these statements as a rate (slope) in fraction form.

a)

My internet speed is 25Mb per second

b)

The harvest rate is 23 bushels per acre

c)

Amanda ran the mile in 7 minutes (can be more than one answer)

d)

You can manufacture 5 items in 45 minutes on the CNC router

e)

The car's rpm is 3000.

15.

Write each of these statements as an inequality (,,) .

a)

You can get your driver's license beginning at 16 years of age.

Express the age you can get your license.

b)

As a new employee, you begin at $8 per hour plus commission.

Express your hourly pay you can earn.

c)

The temperature for the heat presses can go up to 400 degrees.

d)

The t--shirt transfer must be centered on the shirt within ?"

16.

Patients in a hospital are often given medicine through an IV drip.

A

patient is prescribed a 250 ml bag of medicine to be administered at a

rate of 3 ml per minute.

The function (equation) used to model the

medicine remaining in the bag is shown below where t is the amount of

medicine per minute.

How much medicine remains in the bag after 40

minutes?

m(t) = 250 - 3t

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17.

Revenue is the income from the sale of the items produced.

This is not

profit.

Revenue can be thought of as the total dollars of the sales of the

items.

If t--shirts are sold for $10 each, write a revenue function

(equation) for the sale of n items (t--shirts).

18.

Your favorite store has 20% off everything.

You buy a $100 item.

In

addition, you have a 15% off coupon for being a loyal customer.

If you

had your choice, which would you prefer?

a)

20% taken first, and then the 15% taken off.

b)

15% taken first, and then the 20% taken off.

c)

15% + 20% = 35% taken off together

19.

Sketch a reasonable graph for this situation.

T--shirts cost $8 each.

Complete the table and graph.

# of t--shirts

Total Cost

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20.

Find the next number in the sequence and write the equation

a)

5, 10, 15, 20,

_____

b)

100, 97, 94, 91, ______

c)

Term

1 2 3 4

number

Sequence --5 --3 --1

21.

Find the slope of the line that passes thru the 2 data points

a)

( 7, --12)

(2, --1)

b)

(--3, 0)

(--1, 5)

c)

(3, 4)

(3, --1)

d)

(5, --3)

(2, --3)

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